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Scalar Particle in New Type of the Extended Uncertainty Principle

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Abstract

In the context of new type of the extended uncertainty principle using the displacement operator method, we present an exact solution of some problems such as: the Klein–Gordon particle confined in a one dimensional box, the scalar particle with linear vector and scalar potentials and the case of inversely linear vector and scalar potentials of Coulomb-type. The expressions of bound state energies and the associated wave functions are exactly determined for these three cases.

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Authors and Affiliations

  1. PRIMALAB, Département de Physique, Faculté des Sciences de la matière, Université de Batna 1, 05000, Batna, Algeria

    A. Merad

  2. LPEA, Département de Physique, Faculté des Sciences de la Matière, Université de Batna 1, Batna, Algeria

    M. Aouachria

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  1. A. Merad
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  2. M. Aouachria
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Merad, A., Aouachria, M. Scalar Particle in New Type of the Extended Uncertainty Principle. Few-Body Syst 61, 1 (2020). https://doi.org/10.1007/s00601-019-1534-8

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